How do you simplify $9/(sqrt6 - sqrt5)$ ?

Question

1682 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-16T01:29:17

This problem can be solved by using using the conjugate of the denominator and rationalization

$\frac{9}{\sqrt{6}-\sqrt{5}}$

$=frac{9}{\sqrt{6}-\sqrt{5}} * frac{\sqrt{6}+\sqrt{5}}{\sqrt{6}+\sqrt{5}}$

$=frac{9*(\sqrt{6}+\sqrt{5})}{(\sqrt{6})^2-(\sqrt{5})^2}$

$=frac{9*(\sqrt{6}+\sqrt{5})}{6-5}=9*(\sqrt{6}+\sqrt{5})$

How do you simplify 9/(sqrt6 - sqrt5)9/(sqrt6 - sqrt5)?